Network visualization techniques have been widely used to explore social networks, which are crucial to many application domains. A proposed visual-analytics approach provides functions that were previously hard to obtain. Based on recent achievements in spectrum-based analysis, it uses the features of node distribution and coordinates in the high-dimensional spectral space. Specifically, three-stage node projection and dispersion on a k-dimensional sphere in the spectral space determines the network layout. To assist interactive exploration of network topologies, network visualization and interactive analysis let users filter nodes and edges in a way that's meaningful to the global topology structure.